You need to talk to the guy in the dye shop to get a side quest (you might have to complete the election thing)
Then you need to take a picture of a chuchu, and show it to him. Then he will give you the chuchu fabric, which he can put on your paraglider.
He will also give you the option to get fabric of several other monsters which are obtained in the same way: take a picture, show it to him, get fabric.